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Discrete Math and Analyzing Social Graphs
Week 1
Nested For Loops

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Nested For Loops

Total points 1

1.

Question 1

What will the following program print?


1
2
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n=8
count = 0
 
for i in range(n):
    for j in range(n):
        for k in range(n):
            if i < j and j < k:
                count += 1
 
print(count)
n=8
count = 0

for i in range(n):
    for j in range(n):
        for k in range(n):
            if i < j and j < k:
                count += 1

print(count)
Enter to Rename, ⇧Enter to Preview

1 / 1 point

56

Correct

Exactly! Observe that the sets $\{i, j, k\}$ for which we increase the counter are exactly all possible subsets of size three of the set $0, 1, \ldots, 7$ . Thus, the output is $\binom{8}{3}$ .